5788117440 has 1120 divisors, whose sum is σ = 26200120320. Its totient is φ = 1182449664.

The previous prime is 5788117429. The next prime is 5788117501. The reversal of 5788117440 is 447118875.

5788117440 is a `hidden beast` number, since 578 + 8 + 1 + 1 + 74 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1120).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 79289244 + ... + 79289316.

Almost surely, 2^5788117440 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5788117440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13100060160).

5788117440 is an abundant number, since it is smaller than the sum of its proper divisors (20412002880).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

5788117440 is a wasteful number, since it uses less digits than its factorization.

5788117440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 250880, while the sum is 45.

The square root of 5788117440 is about 76079.6782327581. The cubic root of 5788117440 is about 1795.4739623069.

The spelling of 5788117440 in words is "five billion, seven hundred eighty-eight million, one hundred seventeen thousand, four hundred forty".